Differentiation: Definition and Elementary Application
http://www.maa.org/taxonomy/term/40454/0
enIdentify the Derivative Function
http://www.maa.org/programs/faculty-and-departments/course-communities/identify-the-derivative-function
An Elegant Mode for Determining the Mode
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/an-elegant-mode-for-determining-the-mode-0
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>A technique is introduced for the purpose of finding the relative maximum values of the probability density function. The crux is to find the critical numbers of the exponential of the function instead of the function itself. This results in the same points with much simpler procedures. The same technique can be introduced in lectures of finding critical values in single-variable calculus courses.</em></p>
</div></div></div>Differentiating the Arctangent Directly
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/differentiating-the-arctangent-directly
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The derivative of arctangent is derived directly from the definition of derivative by using some clever inequalities.</em></p>
</div></div></div>Descartes Tangent Lines
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/descartes-tangent-lines
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>Given any positive integer \(n\), find polynomial curves that have exactly \(n\) tangent lines which intersect the curve exactly once. </em></p>
</div></div></div>Math Bite: Once in a While, Differentiation Is Multiplicative
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/math-bite-once-in-a-while-differentiation-is-multiplicative
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><em>The author finds and discusses functions that obey the "erroneous product rule".</em></div></div></div>The Computation of Derivatives of Trigonometric Functions
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-computation-of-derivatives-of-trigonometric-functions
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>Find the derivative of the arcsine, then the derivative of the sine by using the fundamental theorem of calculus.</i></p>
</div></div></div>A Property Possessed by Every Differentiable Function
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-property-possessed-by-every-differentiable-function
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>If \(f\) is differentiable at \(x\), an interesting relationship exists between the tangent and two secant lines.</i></p>
</div></div></div>The Derivative of \(\sin \theta\)
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-derivative-of-sin-theta
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>The author describes a simple way to find the derivative of \(\sin \theta\).</i></p>
</div></div></div>Differentiation: Definition and Elementary Applications (Classroom Capsules and Notes)
http://www.maa.org/programs/faculty-and-departments/course-communities/differentiation-definition-and-elementary-applications-classroom-capsules-and-notes
Calculus Grapher Applet
http://www.maa.org/programs/faculty-and-departments/course-communities/calculus-grapher-applet
Derivatives and Tangent Lines
http://www.maa.org/programs/faculty-and-departments/course-communities/derivatives-and-tangent-lines
Properties of the Graph of the Second Derivative
http://www.maa.org/programs/faculty-and-departments/course-communities/properties-of-the-graph-of-the-second-derivative
Secant to Tangent Applet
http://www.maa.org/programs/faculty-and-departments/course-communities/secant-to-tangent-applet
Moving Secant Line
http://www.maa.org/programs/faculty-and-departments/course-communities/moving-secant-line
Measuring Slope and Plotting the Derivative
http://www.maa.org/programs/faculty-and-departments/course-communities/measuring-slope-and-plotting-the-derivative